延时耦合复杂动力网络的全局混沌同步  

Global chaos synchronization in general complex dynamical networks with coupling delays

作　　者：王宝贤[1] 蹇继贵[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《系统工程与电子技术》2009年第5期1124-1127,共4页Systems Engineering and Electronics

基　　金：湖北省教育厅自然科学研究基金(D200613002;Q200713001);湖北省教育厅优秀中青年科技创新团队计划(T200809)资助课题

摘　　要：利用Lyapunov稳定性理论,结合线性矩阵不等式方法,给出了具有耦合延时的复杂动力网络全局指数同步的时滞无关和时滞相关的若干条件。同时以Duffing混沌系统为例,应用时滞相关条件,得到了保证同步状态全局指数稳定的时滞上界,并与已有结论作比较,验证了结论的保守性有所减弱。数值仿真结果也说明理论分析的正确性。Based on the Lyapunov stability theory and the linear matrix inequality method, global exponen tial synchronization of general complex dynamical networks with coupling delays is investigated. Some delay-independent and delay-dependent criteria ensuring global exponential synchronization are derived. The bound of coupling delay for Duffing system is gained based on delay dependent criteria, which is less conservative than those previously reported. The result of numerical simulations also illuminates the validity of theory.

关 键 词：复杂网络 延时 混沌同步 指数稳定 

分 类 号：O213.3[理学—概率论与数理统计]